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Math Help - College/Highschool algebra

  1. #1
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    College/Highschool algebra

    Basically I completly forgotten how to do these stuff, first 3 is to do them and make them as simple as possible, the other two is just to solve the equations.
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  2. #2
    MHF Contributor red_dog's Avatar
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    1) \displaystyle \frac{x}{6}+\frac{2x}{9}-\frac{x}{3}
    The common denominator is 18. So, amplify the first fraction by 3, the second by 2 and the third by 6.

    2), 3)For the next two problems use the properties:
    (a\cdot b)^n=a^nb^n
    \displaystyle\left(\frac{a}{b}\right)^n\frac{a^n}{  b^n}
    a^m\cdot a^n=a^{m+n}
    \displaystyle\frac{a^m}{a^n}=a^{m-n}
    (a^m)^n=a^{mn}
    \displaystyle\sqrt[n]{a^m}=a^{\frac{m}{n}}

    4) ax^2+bx+c=0
    \displaystyle x_{1,2}=\frac{-b\pm\sqrt{\triangle}}{2a}, where \triangle =b^2-4ac

    5) Factorize and then make a table with the sign of each factor, and then use the rule of signs.
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